Logic
How do you express the statement using both p and q
I do not go to school and I do not like reading
p : I go to school
q: I like to read
~p ^ ~q
Linear Function.
What is the formula for calculating simple interest?
I = prt
The definition of a tautology is?
an assertion that is true in every interpretation
Evaluate the following f(2) if f(x) = 7x
14
If the statement is a conjunction and the first value is true and the second value is false, then the value of the whole statement is?
False
Find the x intercept of the following function, y= 25x + 36
(-36/25), (0)
What is the interest on a 100 dollar loan you took out at 6% interest for a total of 1 year ?
6 dollars.
What is the opposite of a tautology called?
a contradiction. A statement that is always false.
Evaluate the function for f(3) for the function f(x) = .0656x + 7
7.2
if p is true and q is false, what is p ^ ~ q ?
True.
Find the y- intercept of the following function
2y + 4x = 12
(0, 6)
You deposit 2,050 dollars into an account at 7.25 % interest and let it accrue for a total of 9 years. How much money is in the account at the end of the 9 years ?
3,387 dollars.
x= 3 is the following a function? if so what is its slope?
No and the slope is undefined.
Evaluate g(29) for g(x) = 2x2 + 3x + 4
1,773
if p is is true and q is false, what is p ----> q?
False.
The test we use to determine if a particular graph is indeed a function is called the?
Vertical Line Test
You have an account with 1,200 dollars that gains interest at a rate of 4.36 % for a total of 4 years. How much money is in the account at the end of 3 years if it has been compounded semiannually?
1,365.767 dollars if compounded semiannually for 3 years.
(1,2) (3,6)
Find the slope of the line that passes between the two given points
2 is the slope
Evaluate f(2) for f(x) = x3 +7
15
if you wanted to determine if a statement was a tautology, what would the final column of the truth table look like for a statement that was in fact a tautology?
The final column should contain all true values.
for the following equation, determine the value of both the x and y intercepts
4y - 12x = 24
y = -3x + 6
y intercept is (0 , 6)
x intercept (2, 0)
You take out a standard loan which only gains interest on the principal for 346 dollars at 5 % for 2 years or you can take out a loan for the same amount compounded continuously for 2 years at 1.3 percent? Which is the better deal
The second one is a better deal because you pay 355 total for that loan instead of 380 for the first loan.
Evaluate the following function for b(7) if b(g) = g2+ 2.1x -3
60.7
Evaluate f(7) for -3x2 + 5x + 2
-110